SOLUTION: given area of a triangle is 36 inches squared, base 3x inches, height 2x+2 inches, Prove: solve for x and find the base. I totally don't get this or even know where to start!

Question 706004: given area of a triangle is 36 inches squared, base 3x inches, height 2x+2 inches, Prove: solve for x and find the base.
I totally don't get this or even know where to start!
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
given area of a triangle is 36 inches squared, base 3x inches, height 2x+2 inches, Prove: solve for x and find the base.
:
You know (hopefully) the area of a triangle: A = *b*h
therefore:
*(3x)*(2x+2) = 36
get rid of the fraction, mult both sides by 2
3x(2x+2) = 72
6x^2 + 6x - 72 = 0
a quadratic equation that we an simplify, divide by 6
x^2 + x - 12 = 0
Factors to
(x+4)(x-3) = 0
the positive solution
x = 3
:
:
You can prove this to yourself, replace x with 3 in each expression and find the area
RELATED QUESTIONS
The base of a triangle is 12 inches more than 4 times the height. If the area is 36... (answered by checkley71)

what is the height of a triangle, where the area is 56 inches squared and a base of 14... (answered by geforcewong)

The area of a triangle must be at least 36 square inches, the base is 12 inches, and the... (answered by solver91311)

the area of a triangle is 48 inches squared and its base is 6 inches. What is the... (answered by eshomali)

The base of a triangle is 2 inches more than 3 times the height. If the area is 8... (answered by waynest)

The base of a triangle is 4 inches more than 2 times the height. If the area is (answered by MathLover1)

find the area of a triangle with base 21 inches and height 8... (answered by rapaljer)

the area of a triangle must be at 32.5 square inches, the base is 13 inches and the... (answered by stanbon)

The area of a triangle must be at most 32.5 square inches, the base is 13 inches, and the (answered by checkley77)